Volume & Surface Area of Solids Revision of Area

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1Volume & Surface Area of Solids www.mathsrevision.com Revision of AreaRevision of Volume and Surface AreaVolume of a PrismVolume of a CylinderVolume of a PyramidCurved Area of a CylinderVolume of a SphereExam Type Questions

2Starter Questions a2 – 3b2 = 57 Q1. True or falseQ2. Write down the probability of picking out a numbergreater than 20 in the national lottery.Q3. If a = -3 and b = -4 doesa2 – 3b2 = 57Q4. CalculateTuesday, 11 April 2017Created by Mr.Lafferty

3Revision of Areas www.mathsrevision.com Any Type of TriangleLevel 4Any Type of TriangleRhombus and kiteParallelogramTrapeziumCircle

5Area Example : Find the area of the V – shape kite.Level 4Example : Find the area of the V – shape kite.4cm7cmTuesday, 11 April 2017Created by Mr.Lafferty

6Composite Areas We can use our knowledge of the basic areasLevel 4We can use our knowledge of the basic areasto work out more complicated shapes.Example : Find the area of the arrow.5cm3cm6cm4cmTuesday, 11 April 2017Created by Mr.Lafferty

7Composite Areas 8cm www.mathsrevision.com 11cm 10cmLevel 4Example : Find the area of the shaded area.8cm11cm4cm10cmTuesday, 11 April 2017Created by Mr.Lafferty

10Q4. Rearrange into the form y =Starter QuestionsQ1. Find the area of the triangle.10cm3cm4cmQ2. Expand out and simplify 2w2 – 3(2w – 5)Q3. True or falseQ4. Rearrange into the form y =2y – 3x + 7 = 0Tuesday, 11 April 2017Created by Mr.Lafferty

19Face Edges and VerticesDon’t forget the faces edges and corners we can’t see at the backFace Edges and VerticesLevel 4The shape below is called a cuboid.It is made up of FACES, EDGES and VERTICES.Edges are where the two faces meet (lines)Faces are thesides of a shape(surface area)Vertices where lines meet (corners)11-Apr-17Compiled by Mr. Lafferty Maths Dept.

20Face Edges and VerticesCalculate the number of faces edges and vertices for a cuboid.Face Edges and VerticesLevel 46 faces12 edgesFront and back are the same8 verticesTop and bottom are the sameRight and left are the same11-Apr-17Compiled by Mr. Lafferty Maths Dept.

21Face Edges and VerticesCalculate the number of faces edges and vertices for a cube.Face Edges and VerticesLevel 46 faces12 edgesFaces are squares8 vertices11-Apr-17Compiled by Mr. Lafferty Maths Dept.

22Find the surface area of the cuboidExampleFind the surface area of the cuboidWorkingLevel 4Front Area = l x b= 5 x 4 =20cm2Top Area = l x b= 5 x 3 =15cm24cmSide Area = l x b= 3 x 4 =12cm23cm5cmTotal Area== 94cm2Front and back are the sameTop and bottom are the sameRight and left are the same11-Apr-17Compiled by Mr. Lafferty Maths Dept.

30Starter Questions Q1. Find the area of the parallelogram Q2. Factorise77Q2. Factorise4x + 40Q3. A can of beans is reduce by 15% to 25p.Find the price before the reduction.Q4. The speed of light is metres per sec.True or false in scientific notation 3 x 108.Tuesday, 11 April 2017Created by Mr.Lafferty

31Volume of a Cylinder www.mathsrevision.com Learning IntentionLevel 4Learning IntentionSuccess CriteriaWe are learning how to derive the formula for the volume of a cylinder and apply it to solve problems.To know formula.Apply formula correctly.Work backwards using formula.

32Volume of a Cylinder Volume = Area x height = πr2 = πr2hLevel 4The volume of a cylinder can be thought as being a pileof circles laid on top of each other.Volume = Area x heighth= πr2x hCylinder(circular Prism)= πr2h

35Starter Questions -(a2) + b2 = 5 Q1. FactoriseQ2. Write down the probability of picking out a numberless than 30 in the national lottery.Q3. True or false if a = -1 and b = -2-(a2) + b2 = 5Q4. Explain whyTuesday, 11 April 2017Created by Mr.Lafferty

36Volume of a Pyramid www.mathsrevision.com Learning IntentionLevel 4Learning IntentionSuccess CriteriaWe are learning how to use the formula for the volume of ANY pyramid and apply it to solve problems.To know formula.Apply formula correctly.Work backwards using formula.

37Volume of a Pyramid www.mathsrevision.comLevel 4coneThe volume of any pyramid can becalculated using the formulaA = Area of baseh = height

38Volume of Pyramid www.mathsrevision.comLevel 4Q. Find the volume the pyramid.12m100m2

42Surface Area of a Cylinder www.mathsrevision.com Learning IntentionLevel 4Learning IntentionSuccess CriteriaWe are learning how to calculate the surface area of a cylinder by using basic areas.To know how to split up a cylinder.2. Calculate the surface area of a cylinder.

43Surface Area of a Cylinder 2πr h Total Surface Area = 2πr2 + 2πrhLevel 4The surface area of a cylinder is made up of 2 basic shapes can you name them.Cylinder(circular Prism)2πrCurved Area =2πrhTop Area =πr2Roll outcurve side hBottom Area =πr2Total Surface Area = 2πr2 + 2πrh

48Volume of Solids www.mathsrevision.com Learning IntentionLevel 4Learning IntentionSuccess CriteriaWe are learning how to use the sphere formula and use it to solve real-life problems.To know the volume formula for a sphere.Work out volumes for spheres.Answer to containappropriate units and working.